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If roots of x^2-(a-3)x+a=0 are such that...

If roots of `x^2-(a-3)x+a`=0 are such that both of them is greater than 2, then

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If z1=5+12 i and |z2|=4,t h e n

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  3. If roots of x^2-(a-3)x+a=0 are such that both of them is greater than ...

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  4. If (z-1)/(z+1) is purely imaginary then

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  5. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for...

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  6. Write a linear equation representing a line which is parallel to y-axi...

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  7. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

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  8. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

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  9. The set of all possible real values of a such that the inequality (x-(...

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  10. If z1, z2 are complex number such that (2z1)/(3z2) is purely imaginary...

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  11. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

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  12. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

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  13. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

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  14. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

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  15. (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if

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  16. The total number of values a so that x^2-x-a=0 has integral roots, wh...

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  17. If i=sqrt(-1) then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is ...

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  18. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

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  19. If a r g(z)<0, then a r g(-z)-"arg"(z) equals pi (b) -pi (d) -pi/2 ...

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  20. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

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